(50 points) At a certain high school, 15 students play stringed instruments and 20 students play brass instruments. Five student

Question

3 years ago

10

s play neither stringed nor brass instruments. What is the probability that a randomly selected student plays both a stringed and a brass instrument?

1 answer:

MakcuM [25] · Answer 1 · 2022-02-28T07:30:24+03:00

Answer:

Step-by-stepP(A\cup B)= 0.875

From the diagram, none of the students play both instruments.

This means the two events are mutually exclusive.

P(A\cup B)=P(A)+P(B)

The number of people playing instruments is 20.

P(A\cup B)= \frac{20}{40} + \frac{15}{40}

P(A\cup B)= \frac{35}{40}

P(A\cup B)= 0.875

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